Answer :
Answer: 5 x 3 x 13
Step-by-step explanation: To find the prime factorization of 195, first create a factor tree with two branches.
Since 195 end in 5, we begin by dividing 195 by 5 which gives us 39 so this means that 5 and 39 are factors of 195. This means that we write a 5 and 39 at the bottom of the branches. Since 5 is a prime number, we circle the 5.
Since 39 is not prime, we draw two new branches. 39 divided by 3 is 13 so 3 and 13 are factors of 39 which means that we write 3 and 13 at the bottom of the branches. Since both 3 and 13 are prime, we circle both numbers.
Now, since we have circles at the bottom of all of or branches, we are finished.
So the prime factorization of 195 is 5 × 3 × 13.
Final answer:
The prime factorization of 195 is 3 × 5 × 13.
Explanation:
The prime factorization of 195 is 3 × 5 × 13. To find the prime factorization, we need to find the prime numbers that can divide 195 without leaving a remainder. We can start by dividing 195 by the smallest prime number, which is 2, but it doesn't divide evenly. So we move on to the next prime number, which is 3. 3 divides 195 evenly, leaving us with 65. Next, we divide 65 by the smallest prime number, which is 2, but it doesn't divide evenly. So we try the next prime number, 3, and it also doesn't divide evenly. We continue this process until we find that 13 divides 65 evenly, leaving us with 5. Finally, we divide 5 by the smallest prime number, which is 2, but it doesn't divide evenly. So we try the next prime number, 3, but it doesn't divide evenly either. The only prime number left is 5, and it divides 5 evenly, leaving us with 1. At this point, we have found all the prime factors, which are 3, 5, and 13.
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